| “李代数及其表示论”是数学与应用数学系及相关专业的专业选修课。王建磐等编著的《李理论与表示论》包含华东师范大学2009年及2006年“李理论与表示论”研究生暑期学校的4篇讲义。内容包括：李超代数表示论的一些新的发展；有限群概型的几何与组合方面的理论；简约代数群及相关Frobenius核、李型有限群的上同调理论与相互关联；D-模理论在李理论中的应用等。 |
| Shun-Jen Cheng and Weiqiang Wang: Dualities for Lie Superalgebras 0 Introduction 1 Lie superalgebra ABC 2 Finite-dimensional modules of Lie superalgebras 3 Schur-Sergeev duality 4 Howe duality for Lie superalgebras of type 5 Howe duality for Lie superalgebras of type 6 Super duality References Rolf Farnsteiner: Combinatorial and Geometric Aspects of the Representation Theory of Finite Group Schemes 0 Introduction 1 Finite group schemes 2 Complexity and representation type 3 Support varieties and support spaces 4 Varieties of tori 5 Quivers and path algebras 6 Representation-finite and tame group schemes References Daniel K. Nakano : Cohomology of Algebraic Groups, Finite Groups, and Lie Algebras: Interactions and Connections 1 Overview 2 Representation theory 3 Homological algebra 4 Relating support varieties 5 Relating cohomology 6 Computing cohomology for finite groups of Lie type References Toshiyuki Tanisaki: D-modules and Representation Theory 1 Motivation 2 Basic concepts 3 Derived category 4 Coherent D-rnodules 5 Regular holonomic D-modules 6 Application to representation theory References |
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